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Simplifying -13 + 3w + 4 = -5w + 13 + -3w Reorder the terms: -13 + 4 + 3w = -5w + 13 + -3w Combine like terms: -13 + 4 = -9 -9 + 3w = -5w + 13 + -3w Reorder the terms: -9 + 3w = 13 + -5w + -3w Combine like terms: -5w + -3w = -8w -9 + 3w = 13 + -8w Solving -9 + 3w = 13 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -9 + 3w + 8w = 13 + -8w + 8w Combine like terms: 3w + 8w = 11w -9 + 11w = 13 + -8w + 8w Combine like terms: -8w + 8w = 0 -9 + 11w = 13 + 0 -9 + 11w = 13 Add '9' to each side of the equation. -9 + 9 + 11w = 13 + 9 Combine like terms: -9 + 9 = 0 0 + 11w = 13 + 9 11w = 13 + 9 Combine like terms: 13 + 9 = 22 11w = 22 Divide each side by '11'. w = 2 Simplifying w = 2
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